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Yosida Approximations of Stochastic Differential Equations in Infinite Dimens…
This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics…
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- ISBN/ISSN
- 978-3-319-45684-3
- Collation
- -
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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applicati…
The purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE). For such equations, particularly for 2nd order ones, solutions generally are non-smooth and standard approaches in order to define a "weak solution" do not a…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-12829-0
- Collation
- XII, 123
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 515.3 KAT i
Differential Equations
This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory. Particular attention is gi…
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- -
- ISBN/ISSN
- 9783319452616
- Collation
- XI, 224 pages 16 illustrations
- Series Title
- -
- Call Number
- 515.35
Differential Equations with Involutions
This monograph covers the existing results regarding Green's functions for differential equations with involutions (DEI). The first part of the book is devoted to the study of the most useful aspects of involutions from an analytical point of view and the associated algebras of differential operators. The work combines the state of the art regarding the existence and uniqueness results for DEI …
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- -
- ISBN/ISSN
- 9789462391215
- Collation
- xiv, 154 pages
- Series Title
- -
- Call Number
- 515.35
Differential and Difference Equations with Applications ICDDEA, Amadora, Port…
Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential and Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of Professor Georg Sell. Contributions include new trends in …
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- -
- ISBN/ISSN
- 9783319328577
- Collation
- xv, 451 pages
- Series Title
- -
- Call Number
- 515.35
Reduced Basis Methods for Partial Differential Equations: An Introduction
This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical prop…
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- ISBN/ISSN
- 978-3-319-15431-2
- Collation
- -
- Series Title
- -
- Call Number
- 515.35
Recent Results on Time-Delay Systems: Analysis and Control
This book mostly results from a selection of papers presented during the 11th IFAC (International Federation of Automatic Control) Workshop on Time-Delay Systems, which took place in Grenoble, France, February 4 - 6, 2013. During this event, 37 papers were presented. Taking into account the reviewers' evaluation and the papers' presentation the best papers have been selected and collected into…
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- ISBN/ISSN
- 978-3-319-26369-4
- Collation
- -
- Series Title
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- Call Number
- 515.35
Recent Developments of Mathematical Fluid Mechanics
The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow…
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- ISBN/ISSN
- 978-3-0348-0939-9
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- -
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Virtual Turning Points
The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the Noumi–Yamada type and to the analysis of non-adiabatic transition probability problems in three levels. As M.V. Fedoryuk once lame…
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- -
- ISBN/ISSN
- 978-4-431-55702-9
- Collation
- XII, 126
- Series Title
- -
- Call Number
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Variational Analysis and Aerospace Engineering Mathematical Challenges for t…
This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics metho…
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- -
- ISBN/ISSN
- 978-3-319-45680-5
- Collation
- 64 b/w illustrations, 219 illustrations in colour
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- -
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- -
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